13089280 has 40 divisors (see below), whose sum is σ = 31389732. Its totient is φ = 5234688.

The previous prime is 13089229. The next prime is 13089281. The reversal of 13089280 is 8298031.

It can be written as a sum of positive squares in 2 ways, for example, as 10969344 + 2119936 = 3312^2 + 1456^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (13089281) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4 + ... + 5116.

Almost surely, 2^13089280 is an apocalyptic number.

13089280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15694866).

13089280 is an abundant number, since it is smaller than the sum of its proper divisors (18300452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13089280 is an frugal number, since it uses more digits than its factorization.

13089280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5136 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 13089280 is about 3617.9109994581. The cubic root of 13089280 is about 235.6705159885.

The spelling of 13089280 in words is "thirteen million, eighty-nine thousand, two hundred eighty".